{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"41c68586-a1a9-5008-ac55-f7f28244095b","task_key":"algebra--test--41c68586-a1a9-5008-ac55-f7f28244095b","task_revision_id":"1","upstream_id":"","short_description":"If you continue this pattern in which each line-segment extremity is replaced by…","config":"algebra","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"If you continue this pattern in which each line-segment extremity is replaced by a gradually smaller Y in the next figure, in the manner shown, how many endpoints will Figure 5 have?\\n\\n[asy]\\ndraw((0,0)--(0,-3),linewidth(.75));\\ndraw((0,0)--(-2,2),linewidth(.75));\\ndraw((0,0)--(2,2),linewidth(.75));\\nlabel(\\\"Figure 1\\\",(0,-3),S);\\n\\ndraw((5,0)--(5,-2),linewidth(.75));\\ndraw((4,-3)--(5,-2)--(6,-3),linewidth(.75));\\ndraw((4,1)--(5,0)--(6,1),linewidth(.75));\\ndraw((3,1)--(4,1)--(4,2),linewidth(.75));\\ndraw((6,2)--(6,1)--(7,1),linewidth(.75));\\nlabel(\\\"Figure 2\\\",(5,-3),S);\\n\\ndraw((10,0)--(10,-2),linewidth(.75));\\ndraw((9.5,-2.5)--(10,-2)--(10.5,-2.5),linewidth(.75));\\ndraw((9,-2.5)--(9.5,-2.5)--(9.5,-3),linewidth(.75));\\ndraw((11,-2.5)--(10.5,-2.5)--(10.5,-3),linewidth(.75));\\n\\ndraw((9,1)--(10,0)--(11,1),linewidth(.75));\\ndraw((8.5,1)--(9,1)--(9,1.5),linewidth(.75));\\ndraw((11.5,1)--(11,1)--(11,1.5),linewidth(.75));\\ndraw((8.25,.75)--(8.5,1)--(8.25,1.25),linewidth(.75));\\ndraw((8.75,1.75)--(9,1.5)--(9.25,1.75),linewidth(.75));\\ndraw((10.75,1.75)--(11,1.5)--(11.25,1.75),linewidth(.75));\\ndraw((11.75,1.25)--(11.5,1)--(11.75,.75),linewidth(.75));\\nlabel(\\\"Figure 3\\\",(10,-3),S);\\n\\n[/asy]\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}